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Finding the Fourth Proportional to 21,638.64, 29,863.98 and 12,207

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Solution

The fourth proportional to 21,638.64, 29,863.98 and 12,207 is: 16,847.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,638.64 : 29,863.98 = 12,207 : x
  2. Step 2: Convert to fraction form
    21,638.64/29,863.98 = 12,207/x
  3. Step 3: Cross multiply
    21,638.64x = 29,863.98 × 12,207
  4. Step 4: Simplify right side
    21,638.64x = 364,549,603.86
  5. Step 5: Solve for x
    x = 364,549,603.86/21,638.64
  6. Step 6: Final answer
    x = 16,847.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.